Rod smokes 1 1/2 packs of cigarettes per day. rod buys cigarettes by the carton. there are ten packs of cigarettes in each carton. if rod pays $35.80 per carton, how much does it cost him for each day of smoking?

It costs Rod $5.37 per day to smoke.

Step-by-step explanation:

If a carton costs 35.80 and there are 10 packs per carton

$35.80 /10 = 3.58 per pack

Rod smokes 1.5 packs per day

1.5 * 3.58 = $5.37

It costs Rod $5.37 per day to smoke.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

four boxes of pizza

hope this